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Finding the Fourth Proportional to 883.41, 1,219.01 and 572.91

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Solution

The fourth proportional to 883.41, 1,219.01 and 572.91 is: 790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.41 : 1,219.01 = 572.91 : x
  2. Step 2: Convert to fraction form
    883.41/1,219.01 = 572.91/x
  3. Step 3: Cross multiply
    883.41x = 1,219.01 × 572.91
  4. Step 4: Simplify right side
    883.41x = 698,383.02
  5. Step 5: Solve for x
    x = 698,383.02/883.41
  6. Step 6: Final answer
    x = 790.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.